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What is the Least Common Multiple of 25709 and 25715?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 25709 and 25715 is 661106935.

LCM(25709,25715) = 661106935

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Least Common Multiple of 25709 and 25715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25709 and 25715, than apply into the LCM equation.

GCF(25709,25715) = 1
LCM(25709,25715) = ( 25709 × 25715) / 1
LCM(25709,25715) = 661106935 / 1
LCM(25709,25715) = 661106935

Least Common Multiple (LCM) of 25709 and 25715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25709 and 25715. First we will calculate the prime factors of 25709 and 25715.

Prime Factorization of 25709

Prime factors of 25709 are 47, 547. Prime factorization of 25709 in exponential form is:

25709 = 471 × 5471

Prime Factorization of 25715

Prime factors of 25715 are 5, 37, 139. Prime factorization of 25715 in exponential form is:

25715 = 51 × 371 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 25709 and 25715.

LCM(25709,25715) = 471 × 5471 × 51 × 371 × 1391
LCM(25709,25715) = 661106935